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80688480 = 2535971733
BaseRepresentation
bin1001100111100…
…11010101100000
312121211101210020
410303303111200
5131124012410
612001233440
71666561245
oct463632540
9177741706
1080688480
11416014a4
1223032880
1313941882
14aa055cc
15713ca70
hex4cf3560

80688480 has 96 divisors (see below), whose sum is σ = 256937184. Its totient is φ = 21282816.

The previous prime is 80688473. The next prime is 80688499. The reversal of 80688480 is 8488608.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45694 + ... + 47426.

It is an arithmetic number, because the mean of its divisors is an integer number (2676429).

Almost surely, 280688480 is an apocalyptic number.

80688480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80688480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128468592).

80688480 is an abundant number, since it is smaller than the sum of its proper divisors (176248704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80688480 is a wasteful number, since it uses less digits than its factorization.

80688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 80688480 is about 8982.6766612185. The cubic root of 80688480 is about 432.1194799834.

The spelling of 80688480 in words is "eighty million, six hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1733 1940 2328 2910 3104 3466 3880 4656 5199 5820 6932 7760 8665 9312 10398 11640 13864 15520 17330 20796 23280 25995 27728 34660 41592 46560 51990 55456 69320 83184 103980 138640 166368 168101 207960 277280 336202 415920 504303 672404 831840 840505 1008606 1344808 1681010 2017212 2521515 2689616 3362020 4034424 5043030 5379232 6724040 8068848 10086060 13448080 16137696 20172120 26896160 40344240 80688480